Higher Complex Torsion and the Framing Principle(English, Paperback, Igusa Kiyoshi)

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Higher Complex Torsion and the Framing Principle(English, Paperback, Igusa Kiyoshi) is written by Igusa Kiyoshi and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821837737 (ISBN 10) and 9780821837733 (ISBN 13).

We prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the 'Framing Principle' in full generality. We use these properties to compute the higher FR-torsion for all smooth bundles with oriented closed even dimensional manifold fibers. We also show that the higher complex torsion invariants of bundles with closed almost complex fibers are multiples of generalized Miller-Morita-Mumford classes.